exam Maths Puzzle Numerical Ability

A small firm produces both AM and AM/FM car radios. The AM radios take 15 h to produce. The M/FM radios take 20 h. The # of production hours is limited to 300 h per week. The plant

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given that sin angle=-8/17, angle in QIV, find sin(angle/2) and cos(angle/2) I do not understand this kind of problem can someone help me I am having problems with this solution:

Solve for x: log(x - 5) + log 4 = 2

Please help. Thanks
-Ryan